NP-Completeness of Neighborhood Balanced Colorings

Saeed Asaeedi

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arXiv · 2407.19793

NP-Completeness of Neighborhood Balanced Colorings

Saeed Asaeedi

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Abstract

A Neighborhood Balanced Coloring (NBC) of a graph is a red-blue coloring where each vertex has the same number of red and blue neighbors. This work proves that determining if a graph admits an NBC is NP-complete. We present a genetic algorithm to solve this problem, which we implemented and compared against exact and randomized algorithms.

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Saeed Asaeedi. 2024-07-29. NP-Completeness of Neighborhood Balanced Colorings. https://arxiv.org/abs/2407.19793

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